"
]
},
{
"cell_type": "markdown",
"metadata": {
"lines_to_next_cell": 0
},
"source": [
"# Random number generation\n",
"\n",
"Some examples demonstrating how to generate random numbers using\n",
"https://docs.scipy.org/doc/numpy/reference/routines.random.html"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learning objectives\n",
"\n",
"1. Demonstrate random number utilities in numpy.random \n",
" and scipy.stats\n",
" \n",
"1. Use the paramter estimates generated by the 11-pandas4 notebook\n",
" to generate seasonal precipitation and temperature data that\n",
" fits the observed normal (temperature) and exponential (precipitation)\n",
" data at YVR airport\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Making random numbers\n",
"\n",
"For this notebook, `import context` defines the Path\n",
"object for `notebooks/pandas/data/processed` so that\n",
"we can find the `fit_metadata.json` file written by 11-pandas4"
]
},
{
"cell_type": "markdown",
"metadata": {
"lines_to_next_cell": 0
},
"source": []
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"in context.py, found /Users/phil/repos/eosc213_students/notebooks/pandas/data/processed\n"
]
}
],
"source": [
"import numpy as np\n",
"import numpy.random as rn\n",
"import pandas as pd\n",
"from matplotlib import colors\n",
"from matplotlib import pyplot as plt\n",
"import json\n",
"import context"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Create 1000 uniformly distributed random numbers in the inteval [0,1)\n",
"\n",
"It's a good idea to set a seed, so the random numbers will be identical each\n",
"time you run the notebook\n",
"\n",
"The generator [numpy.random.rand](https://docs.scipy.org/doc/numpy/reference/generated/numpy.random.rand.html)\n",
"generates evenly distributed random numbers between 0 and 1. Below we make 1000 draws\n",
"and histogram the result."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"my_seed = 5\n",
"rn.seed(my_seed)\n",
"uni_dist = rn.rand(1000)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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